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Finding the Third Proportional to 224,093,984 and 487,451,584

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Solution

The third proportional to 224,093,984 and 487,451,584 is: 1,060,309,797.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,093,984 : 487,451,584 = 487,451,584 : x
  2. Step 2: Convert to fraction form
    224,093,984/487,451,584 = 487,451,584/x
  3. Step 3: Cross multiply
    224,093,984x = 487,451,584 × 487,451,584
  4. Step 4: Simplify right side
    224,093,984x = 237,609,046,744,109,056
  5. Step 5: Solve for x
    x = 237,609,046,744,109,056/224,093,984
  6. Step 6: Final answer
    x = 1,060,309,797.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.